A cone-shaped megaphone has a radius of 15 centimeters and a slant height of 20 centimeters. A megaphone has an open bottom. What is the lateral surface area of the megaphone, in square centimeters? Use 3.14 for pi.(1 point)

Question

1,648.5 square centimeters 1,648.5 square centimeters 942 square centimeters 942 square centimeters 1,884 square centimeters 1,884 square centimeters 109.9 square centimeters

Answer 1

To find the lateral surface area (LSA) of a cone, you can use the formula:

\[ \text{LSA} = \pi r l \]

where \( r \) is the radius, \( l \) is the slant height, and \( \pi \) is approximately 3.14.

Given:

• \( r = 15 \) cm
• \( l = 20 \) cm
• \( \pi \approx 3.14 \)

Now substituting the values into the formula:

\[ \text{LSA} = 3.14 \times 15 \times 20 \]

Calculating the multiplication:

\[ \text{LSA} = 3.14 \times 300 \]

\[ \text{LSA} = 942 \]

Thus, the lateral surface area of the megaphone is \( 942 \) square centimeters.

The correct answer is:

942 square centimeters.